document.write( "Question 828837: 3 The function f(x) is defined as f(x) = x2 + 2x – 4. The function g(x) is defined as
\n" ); document.write( "g(x) = –3f(x) + 2.
\n" ); document.write( " Graph g(x) for –2 ≤ x ≤ 2.
\n" ); document.write( " Describe the transformations that take the function f(x) onto g(x).
\n" ); document.write( " Write a new function, h(x), that transforms g(x) back onto f(x). \n" ); document.write( "

Algebra.Com's Answer #499546 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"g%28x%29=-3f%28x%29%2B2\"$
\n" ); document.write( " $\"g%28x%29=-3%28x%5E2%2B2x-4%29%2B2\"$ ------ because g is composed of f, so substituted
\n" ); document.write( " $\"g%28x%29=-3x%5E2-6x%2B12%2B12\"$
\n" ); document.write( " $\"highlight%28g%28x%29=-3x%5E2-6x%2B14%29\"$
\n" ); document.write( "Graph that if you want. Might be better to put into standard for to know if opens up or down, and where is vertex, intercepts.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then you wanted f(x) composed of g(x).
\n" ); document.write( "Starting with f(x) definition,
\n" ); document.write( " $\"f%28x%29=x%5E2%2B2x-4\"$
\n" ); document.write( "'
\n" ); document.write( " $\"h%28x%29=f%28g%28x%29%29=%28-3x%5E2-6x%2B14%29%5E2%2B2%28-3x%5E2-6x%2B14%29-4\"$
\n" ); document.write( " $\"9x%5E4%2B36x%5E3-48x%5E2-168x%2B196-6x%5E2-12x%2B28-4\"$
\n" ); document.write( " $\"highlight%28h%28x%29=9x%5E4%2B36x%5E3-54x%5E2-180x%2B220%29\"$
\n" ); document.write( "Lengthy process to try to break that into factors, if it can be done.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "g(x)..... graph
\n" ); document.write( " $\"graph%28300%2C300%2C+-2%2C2%2C-5%2C20%2C-3x%5E2-6x%2B14%29\"$ \n" ); document.write( "

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